Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan
Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) of the per-cycle population growth rate for such models. Although powerful, their method can be time-consuming when the dimension of the matrices is large or when cycles are composed of many phases. We present a more efficient method, based on a very simple matrix product. We compared the two methods for matrices of different sizes. We observed a reduction in calculation time on the order of 24% with the new method for a set of 26 within-year Leslie matrices of size 287 x 287. The time saving may become particularly significant when sensitivities are used in Monte Carlo or bootstrap simulations.
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Subjects: | U10 - Informatique, mathématiques et statistiques, modèle mathématique, dynamique des populations, technique analytique, Élasticité, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_6111, http://aims.fao.org/aos/agrovoc/c_1513, http://aims.fao.org/aos/agrovoc/c_26777, |
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dig-cirad-fr-5147432024-01-28T11:36:45Z http://agritrop.cirad.fr/514743/ http://agritrop.cirad.fr/514743/ Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan. Lesnoff Matthieu, Ezanno Pauline, Caswell Hal. 2003. Mathematical and Computer Modelling, 37 : 945-948.https://doi.org/10.1016/S0895-7177(03)00110-9 <https://doi.org/10.1016/S0895-7177(03)00110-9> Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan Lesnoff, Matthieu Ezanno, Pauline Caswell, Hal eng 2003 Mathematical and Computer Modelling U10 - Informatique, mathématiques et statistiques modèle mathématique dynamique des populations technique analytique Élasticité http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_1513 http://aims.fao.org/aos/agrovoc/c_26777 Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) of the per-cycle population growth rate for such models. Although powerful, their method can be time-consuming when the dimension of the matrices is large or when cycles are composed of many phases. We present a more efficient method, based on a very simple matrix product. We compared the two methods for matrices of different sizes. We observed a reduction in calculation time on the order of 24% with the new method for a set of 26 within-year Leslie matrices of size 287 x 287. The time saving may become particularly significant when sensitivities are used in Monte Carlo or bootstrap simulations. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/514743/1/514743.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1016/S0895-7177(03)00110-9 10.1016/S0895-7177(03)00110-9 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=177354 info:eu-repo/semantics/altIdentifier/doi/10.1016/S0895-7177(03)00110-9 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1016/S0895-7177(03)00110-9 |
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U10 - Informatique, mathématiques et statistiques modèle mathématique dynamique des populations technique analytique Élasticité http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_1513 http://aims.fao.org/aos/agrovoc/c_26777 U10 - Informatique, mathématiques et statistiques modèle mathématique dynamique des populations technique analytique Élasticité http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_1513 http://aims.fao.org/aos/agrovoc/c_26777 |
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U10 - Informatique, mathématiques et statistiques modèle mathématique dynamique des populations technique analytique Élasticité http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_1513 http://aims.fao.org/aos/agrovoc/c_26777 U10 - Informatique, mathématiques et statistiques modèle mathématique dynamique des populations technique analytique Élasticité http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_1513 http://aims.fao.org/aos/agrovoc/c_26777 Lesnoff, Matthieu Ezanno, Pauline Caswell, Hal Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan |
description |
Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) of the per-cycle population growth rate for such models. Although powerful, their method can be time-consuming when the dimension of the matrices is large or when cycles are composed of many phases. We present a more efficient method, based on a very simple matrix product. We compared the two methods for matrices of different sizes. We observed a reduction in calculation time on the order of 24% with the new method for a set of 26 within-year Leslie matrices of size 287 x 287. The time saving may become particularly significant when sensitivities are used in Monte Carlo or bootstrap simulations. |
format |
article |
topic_facet |
U10 - Informatique, mathématiques et statistiques modèle mathématique dynamique des populations technique analytique Élasticité http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_1513 http://aims.fao.org/aos/agrovoc/c_26777 |
author |
Lesnoff, Matthieu Ezanno, Pauline Caswell, Hal |
author_facet |
Lesnoff, Matthieu Ezanno, Pauline Caswell, Hal |
author_sort |
Lesnoff, Matthieu |
title |
Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan |
title_short |
Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan |
title_full |
Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan |
title_fullStr |
Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan |
title_full_unstemmed |
Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan |
title_sort |
sensitivity analysis in periodic matrix models : a postscript to caswell and trevisan |
url |
http://agritrop.cirad.fr/514743/ http://agritrop.cirad.fr/514743/1/514743.pdf |
work_keys_str_mv |
AT lesnoffmatthieu sensitivityanalysisinperiodicmatrixmodelsapostscripttocaswellandtrevisan AT ezannopauline sensitivityanalysisinperiodicmatrixmodelsapostscripttocaswellandtrevisan AT caswellhal sensitivityanalysisinperiodicmatrixmodelsapostscripttocaswellandtrevisan |
_version_ |
1792495609905676288 |